Effect of gear topology discontinuities on the nonlinear dynamic response of a multi-degree-of-freedom gear train

Weight reduction is a recurring concern in the design of modern mechanical systems. This search may lead engineers to resort using gears with holes order meet their requirements. paper presents methodology carry out nonlinear dynamic analyses gear transmission blanks subjected multiharmonic internal excitation. work investigates influence these on vibration levels, occurrence contact loss and possible bifurcations. The numerical model features two flexible shafts coupled by spur pair holes. consists lumped masses inertias includes backlash as well excitation sources that are time-varying stiffness static error (STE). resulting system solved frequency domain Harmonic Balance Method (HBM) an arc-length continuation algorithm its stability evaluated Hill’s method. Results show adding not only impacts STE but also mesh stiffness. interactions quantities has substantial bifurcation structure along main solution branch leads decrease span vibro-impact regions. As applied torque increased, it found holed can effectively prevent linear response.